{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple binary image processing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> In this tutorial you will learn some simple binary image processing."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the [previous tutorial]((http://link-to-previous-tutorial-on-image-loading.de \"Load, threshold and save an image\") we learned how to load and save images as well as the simple thresholding operation. This time we will start of with the same image but add 10% of random salt&pepper noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZjJqaGsyePRuNjY3YuXMnGhsb8fDDD4PD4YDD4YDL5TLOrLOzE1wuF06nEzab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\nVCI2NhYWi4WZ2AMDA0hKSkJsbCwiIiI4ZSFgnrTj/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d3d6O7u5oVGbT8FBQXo7e3F6tWr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17a4243f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "from medpy.io import load\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cm as cm\n",
    "\n",
    "i, h = load(\"flair.nii.gz\")\n",
    "\n",
    "i[np.random.randint(0, i.shape[0], int(0.05 * i.size)), np.random.randint(0, i.shape[1], int(0.05 * i.size))] = i.min()\n",
    "i[np.random.randint(0, i.shape[0], int(0.05 * i.size)), np.random.randint(0, i.shape[1], int(0.05 * i.size))] = i.max()\n",
    "\n",
    "plt.imshow(i, cmap = cm.Greys_r);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using our previous approach of simply thresholding to obtain the brain mask will fail now."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZsbGxIv+ElBSR6DKFvShwuVyxyngHBwds2bIF8fHxYhXmkkBEeP36NR4/fqyU0rGurg4Z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\nI4wwwggjjDDCCCOM0AP/BwUQmDZz4x2xAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17761241d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "brainmask = i > 0\n",
    "\n",
    "plt.imshow(brainmask, cmap = cm.Greys_r);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What we instead obtain is a rough estimation of the brain mask with noise speckles. First, let's get rid of the small outliers in the background using **MedPy**'s [largest_connected_component](pythonhosted.org/MedPy/generated/medpy.filter.binary.largest_connected_component.html \"medpy.filter.binary.largest_connected_component\") filter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8+BCHDx9GQECAQsV4dXU1HBwcmiQCgJmZGbp27QoLCwuFbUxNTWFsbIzz58+j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\nhmEYhmEYhmEYhmEYhmEYhmEYC/h/WKqpkiRZql0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f17740ccd10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from medpy.filter import largest_connected_component\n",
    "\n",
    "brainmask = largest_connected_component(brainmask)\n",
    "\n",
    "plt.imshow(brainmask, cmap = cm.Greys_r);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That already looks better. Note that we could have alternatively used the [size_threshold](http://pythonhosted.org/MedPy/generated/medpy.filter.binary.size_threshold.html \"medpy.filter.binary.size_threshold\") filter, if we had to keep more than a single binary object. Now we can close the inner holes with the help of scipy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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a4E4cv3f1cezQ2OT2dDWjB44lEoAhwBclj71pnmsDy3HsbJtaarxPfN+3Attx\n7HV4xnCWmhSC45ysC4dKTCsZH4Nje8huHLuWbUbSudZkHIcMnMRxeEB3rjyff8KxHfBbHIfOWNGF\neT6F4x9jD+BJLn3fq7m05AXeMc/g+INcyKXDQXYCf8X7v28RERERERERERERERERERERERGpgv8P\nBbxiU3Ms1WIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1774079a50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.ndimage import binary_fill_holes\n",
    "\n",
    "brainmask = binary_fill_holes(brainmask)\n",
    "\n",
    "plt.imshow(brainmask, cmap = cm.Greys_r);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And thus, we obtain a smooth brainmask that is (nearly) as good as the one we obtained from the noiseless image."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
